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Finding the Fourth Proportional to 17,533.78, 24,196.49 and 9,576.01

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Solution

The fourth proportional to 17,533.78, 24,196.49 and 9,576.01 is: 13,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.78 : 24,196.49 = 9,576.01 : x
  2. Step 2: Convert to fraction form
    17,533.78/24,196.49 = 9,576.01/x
  3. Step 3: Cross multiply
    17,533.78x = 24,196.49 × 9,576.01
  4. Step 4: Simplify right side
    17,533.78x = 231,705,830.20
  5. Step 5: Solve for x
    x = 231,705,830.20/17,533.78
  6. Step 6: Final answer
    x = 13,214.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.